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422588240 = 245732692
BaseRepresentation
bin11001001100000…
…010111101010000
31002110011201002022
4121030002331100
51331140310430
6105533311012
713320640454
oct3114027520
91073151068
10422588240
111a75a3888
12b9635468
136971cb19
14401a4664
15271764e5
hex19302f50

422588240 has 60 divisors (see below), whose sum is σ = 999693084. Its totient is φ = 166099968.

The previous prime is 422588213. The next prime is 422588251. The reversal of 422588240 is 42885224.

It can be written as a sum of positive squares in 6 ways, for example, as 120384784 + 302203456 = 10972^2 + 17384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 422588240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1570826 + ... + 1571094.

Almost surely, 2422588240 is an apocalyptic number.

422588240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422588240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499846542).

422588240 is an abundant number, since it is smaller than the sum of its proper divisors (577104844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422588240 is an equidigital number, since it uses as much as digits as its factorization.

422588240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 422588240 is about 20556.9511358081. The cubic root of 422588240 is about 750.4224227747.

The spelling of 422588240 in words is "four hundred twenty-two million, five hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 269 292 365 538 584 730 1076 1168 1345 1460 2152 2690 2920 4304 5380 5840 10760 19637 21520 39274 72361 78548 98185 144722 157096 196370 289444 314192 361805 392740 578888 723610 785480 1157776 1447220 1570960 2894440 5282353 5788880 10564706 21129412 26411765 42258824 52823530 84517648 105647060 211294120 422588240